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Finding the Fourth Proportional to 941.22, 1,412.31 and 386.33

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Solution

The fourth proportional to 941.22, 1,412.31 and 386.33 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.22 : 1,412.31 = 386.33 : x
  2. Step 2: Convert to fraction form
    941.22/1,412.31 = 386.33/x
  3. Step 3: Cross multiply
    941.22x = 1,412.31 × 386.33
  4. Step 4: Simplify right side
    941.22x = 545,620.95
  5. Step 5: Solve for x
    x = 545,620.95/941.22
  6. Step 6: Final answer
    x = 579.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.